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Simplifying (3 + -1v)(5v + -9) = 0 Reorder the terms: (3 + -1v)(-9 + 5v) = 0 Multiply (3 + -1v) * (-9 + 5v) (3(-9 + 5v) + -1v * (-9 + 5v)) = 0 ((-9 * 3 + 5v * 3) + -1v * (-9 + 5v)) = 0 ((-27 + 15v) + -1v * (-9 + 5v)) = 0 (-27 + 15v + (-9 * -1v + 5v * -1v)) = 0 (-27 + 15v + (9v + -5v2)) = 0 Combine like terms: 15v + 9v = 24v (-27 + 24v + -5v2) = 0 Solving -27 + 24v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(9 + -5v) = 0Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Simplifying v = 3Subproblem 2
Set the factor '(9 + -5v)' equal to zero and attempt to solve: Simplifying 9 + -5v = 0 Solving 9 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5v = 0 + -9 -5v = 0 + -9 Combine like terms: 0 + -9 = -9 -5v = -9 Divide each side by '-5'. v = 1.8 Simplifying v = 1.8Solution
v = {3, 1.8}
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